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Finding the Fourth Proportional to 178,175.67, 267,301.71 and 51,818.10

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Solution

The fourth proportional to 178,175.67, 267,301.71 and 51,818.10 is: 77,738.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,175.67 : 267,301.71 = 51,818.10 : x
  2. Step 2: Convert to fraction form
    178,175.67/267,301.71 = 51,818.10/x
  3. Step 3: Cross multiply
    178,175.67x = 267,301.71 × 51,818.10
  4. Step 4: Simplify right side
    178,175.67x = 13,851,066,738.95
  5. Step 5: Solve for x
    x = 13,851,066,738.95/178,175.67
  6. Step 6: Final answer
    x = 77,738.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.